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Math Problems
Precalculus
Find values of normal variables
Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
38
38
38
and standard deviation
9
9
9
, the bottom
10
%
10\%
10%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
50
50
50
and standard deviation
20
20
20
, the bottom
20
%
20\%
20%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
10
10
10
and standard deviation
7
7
7
, the bottom
30
%
30\%
30%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
53
53
53
and standard deviation
10
10
10
, the bottom
20
%
20\%
20%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
72
72
72
and standard deviation
8
8
8
, the bottom
10
%
10\%
10%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
64
64
64
and standard deviation
13
13
13
, the bottom
40
%
40\%
40%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
22
22
22
and standard deviation
10
10
10
, the bottom
70
%
70\%
70%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
52
52
52
and standard deviation
25
25
25
, the bottom
90
%
90\%
90%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
63
63
63
and standard deviation
7
7
7
, the bottom
30
%
30\%
30%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
48
48
48
and standard deviation
19
19
19
, the bottom
30
%
30\%
30%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
87
87
87
and standard deviation
11
11
11
, the bottom
70
%
70\%
70%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
37
37
37
and standard deviation
25
25
25
, the bottom
60
%
60\%
60%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
41
41
41
and standard deviation
4
4
4
, the bottom
20
%
20\%
20%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
54
54
54
and standard deviation
17
17
17
, the bottom
20
%
20\%
20%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
66
66
66
and standard deviation
20
20
20
, the bottom
40
%
40\%
40%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
43
43
43
and standard deviation
5
5
5
, the bottom
80
%
80\%
80%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
28
28
28
and standard deviation
20
20
20
, the bottom
10
%
10\%
10%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
36
36
36
and standard deviation
16
16
16
, the bottom
20
%
20\%
20%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
98
98
98
and standard deviation
13
13
13
, the bottom
90
%
90\%
90%
of the values are those less than ___.
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Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
64
64
64
and standard deviation
7
7
7
, the bottom
90
%
90\%
90%
of the values are those less than ___.
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In a recent study of
35
35
35
freshman, the mean number of hours per week that they played video games was
16
16
16
.
6
6
6
. Assume the population standard deviation is
2
2
2
.
8
8
8
. Determine the
99
%
99 \%
99%
confidence interval. Round your values to the nearest thousandth.
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You are dealt one card from a
52
52
52
-card deck. Find the probability that you are not dealt an ace.
\newline
The probability is
□
\square
□
(Type an integer or a fraction. Simplify your answer.)
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The weather forecaster says that tomorrow there is a
94
%
94 \%
94%
chance that it will rain. Which word or phrase describes the probability that it will rain?
\newline
unlikely
\newline
likely
\newline
an equal chance or
50
−
50
50-50
50
−
50
\newline
certain
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A study was commissioned to find the mean weight of the residents in certain town. The study examined a random sample of
33
33
33
residents and found the mean weight to be
162
162
162
pounds with a standard deviation of
35
35
35
pounds. At the
95
%
95 \%
95%
confidence level, use the normal distribution/empirical rule to estimate the margin of error for the mean, rounding to the nearest tenth. (Do not write
±
\pm
±
).
\newline
Answer:
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A study was commissioned to find the mean weight of the residents in certain town. The study examined a random sample of
103
103
103
residents and found the mean weight to be
159
159
159
pounds with a standard deviation of
33
33
33
pounds. At the
95
%
95 \%
95%
confidence level, use the normal distribution/empirical rule to estimate the margin of error for the mean, rounding to the nearest tenth. (Do not write
±
\pm
±
).
\newline
Answer:
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A study was commissioned to find the mean weight of the residents in certain town. The study examined a random sample of
33
33
33
residents and found the mean weight to be
166
166
166
pounds with a standard deviation of
26
26
26
pounds. At the
95
%
95 \%
95%
confidence level, use the normal distribution/empirical rule to estimate the margin of error for the mean, rounding to the nearest tenth. (Do not write
±
\pm
±
).
\newline
Answer:
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A study was commissioned to find the mean weight of the residents in certain town. The study examined a random sample of
45
45
45
residents and found the mean weight to be
191
191
191
pounds with a standard deviation of
28
28
28
pounds. At the
95
%
95 \%
95%
confidence level, use the normal distribution/empirical rule to estimate the margin of error for the mean, rounding to the nearest tenth. (Do not write
±
\pm
±
).
\newline
Answer:
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There is a
3
%
3 \%
3%
probability that a selected life insurance application contains an error. An auditor randomly selects
100
100
100
applications. Using the Poisson approximation to the Binomial, calculate the probability that
9
5
1
/
%
95_{1} / \%
9
5
1
/%
or less of the applications are error-free.
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Nate predicted that voter turnout for the next citywide election will be
23
%
23\%
23%
, with a margin of error of
3
%
3\%
3%
. Which of the following represents the plausible range of voter turnout based on Nate's prediction and margin of error?
\newline
Choose
1
1
1
answer:
\newline
(A) Between
20
%
20\%
20%
and
26
%
26\%
26%
\newline
(B) Between
21.5
%
21.5\%
21.5%
and
24.5
%
24.5\%
24.5%
\newline
(C) Between
23
%
23\%
23%
and
26
%
26\%
26%
\newline
(D) Between
23
%
23\%
23%
and
29
%
29\%
29%
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